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Finding the Fourth Proportional to 121,472.40, 182,259 and 54,866.64

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Solution

The fourth proportional to 121,472.40, 182,259 and 54,866.64 is: 82,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,472.40 : 182,259 = 54,866.64 : x
  2. Step 2: Convert to fraction form
    121,472.40/182,259 = 54,866.64/x
  3. Step 3: Cross multiply
    121,472.40x = 182,259 × 54,866.64
  4. Step 4: Simplify right side
    121,472.40x = 9,999,938,939.76
  5. Step 5: Solve for x
    x = 9,999,938,939.76/121,472.40
  6. Step 6: Final answer
    x = 82,322.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.